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Finding the Fourth Proportional to 90,078.50, 135,117.76 and 24,414.50

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Solution

The fourth proportional to 90,078.50, 135,117.76 and 24,414.50 is: 36,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,078.50 : 135,117.76 = 24,414.50 : x
  2. Step 2: Convert to fraction form
    90,078.50/135,117.76 = 24,414.50/x
  3. Step 3: Cross multiply
    90,078.50x = 135,117.76 × 24,414.50
  4. Step 4: Simplify right side
    90,078.50x = 3,298,832,551.52
  5. Step 5: Solve for x
    x = 3,298,832,551.52/90,078.50
  6. Step 6: Final answer
    x = 36,621.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.